Theorem: The Chain Rule If m(x) = E[I(x)] is a composite function, then provided that E' [I(x)] and I'(x) exist. ○ m'(x) = E[I(x)]I'(x) O m' (x) = E' [I'(x)] Om'(x) = E' [I(x)]I'(x) O m'(x) = E' [I'(x)]I'(x) O m'(x) = E[I'(x)]I'(x)
Theorem: The Chain Rule If m(x) = E[I(x)] is a composite function, then provided that E' [I(x)] and I'(x) exist. ○ m'(x) = E[I(x)]I'(x) O m' (x) = E' [I'(x)] Om'(x) = E' [I(x)]I'(x) O m'(x) = E' [I'(x)]I'(x) O m'(x) = E[I'(x)]I'(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Theorem: The Chain Rule
If m(x) = E[I(x)] is a composite function, then
provided that E' [I(x)] and I'(x) exist.
○ m'(x) = E[I(x)]I'(x)
O m' (x) = E' [I'(x)]
Om'(x) = E' [I(x)]I'(x)
O m'(x) = E' [I'(x)]I'(x)
O m'(x) = E[I'(x)]I'(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cac52cf-c19f-4e3d-a995-6f3c7099178c%2F3e0ff0dd-7925-4444-96c6-590e2e6401b4%2Fsz73t8_processed.png&w=3840&q=75)
Transcribed Image Text:Theorem: The Chain Rule
If m(x) = E[I(x)] is a composite function, then
provided that E' [I(x)] and I'(x) exist.
○ m'(x) = E[I(x)]I'(x)
O m' (x) = E' [I'(x)]
Om'(x) = E' [I(x)]I'(x)
O m'(x) = E' [I'(x)]I'(x)
O m'(x) = E[I'(x)]I'(x)
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